TOPICS: Pythagorean Theorem Areas Pythagorean Theorem Proofs Side of Right Triangle Pythagorean Theorem Video
As we have mentioned several times on this site, there are many proofs of the Pythagorean Theorem, but few are as visual and clear as the one we are going to look at now. This is a visual proof that the area of the square formed by the hypotenuse is equal to the sum of the areas of the squares formed by each of the two legs.
Remember that the formula of the Pythagorean Theorem which says that the hypotenuse squared is equal to the sum of the squares of the two legs is specifically derived from the discovery that Pythagoras made, that the area of the square that has the hypotenuse for its side in a right triangle is equal to the sum of the areas of the two squares that have the legs as sides in the same triangle. In this video proof of the theorem, you can refresh your memory regarding this discovery made by Pythagoras.
Now let’s get started with today’s proof, in which we’ll clearly see how the area of the square that has the hypotenuse for its side is equal to the sum of the areas of the squares whose sides are each of the two legs of the right triangle.
There isn’t much more to explain, look at the picture shown in the video included below and you’ll have no doubt about the relationship between the areas of the squares formed by the legs and the hypotenuse in a right triangle.